100 LearnersLast updated on May 27th, 2025
Factors of 1184
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1184, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1184?
The numbers that divide 1184 evenly are known as factors of 1184.
A factor of 1184 is a number that divides the number without a remainder.
The factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, and 1184.
Negative factors of 1184: -1, -2, -4, -8, -16, -32, -37, -74, -148, -296, -592, and -1184.
Prime factors of 1184: 2 and 37.
Prime factorization of 1184: 25 × 37.
The sum of factors of 1184: 1 + 2 + 4 + 8 + 16 + 32 + 37 + 74 + 148 + 296 + 592 + 1184 = 2392
How to Find Factors of 1184?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1184. Identifying the numbers which are multiplied to get the number 1184 is the multiplication method.
Step 1: Multiply 1184 by 1, 1184 × 1 = 1184.
Step 2: Check for other numbers that give 1184 after multiplying
2 × 592 = 1184
4 × 296 = 1184
8 × 148 = 1184
16 × 74 = 1184
32 × 37 = 1184
Therefore, the positive factor pairs of 1184 are: (1, 1184), (2, 592), (4, 296), (8, 148), (16, 74), and (32, 37). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1184 by 1, 1184 ÷ 1 = 1184.
Step 2: Continue dividing 1184 by the numbers until the remainder becomes 0.
1184 ÷ 1 = 1184
1184 ÷ 2 = 592
1184 ÷ 4 = 296
1184 ÷ 8 = 148
1184 ÷ 16 = 74
1184 ÷ 32 = 37
Therefore, the factors of 1184 are: 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, and 1184.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1184 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1184 ÷ 2 = 592
592 ÷ 2 = 296
296 ÷ 2 = 148
148 ÷ 2 = 74
74 ÷ 2 = 37
37 ÷ 37 = 1
The prime factors of 1184 are 2 and 37.
The prime factorization of 1184 is: 25 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1184 is divided by 2 to get 592.
Step 2: Now divide 592 by 2 to get 296.
Step 3: Then divide 296 by 2 to get 148.
Step 4: Divide 148 by 2 to get 74.
Step 5: Divide 74 by 2 to get 37.
Here, 37 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1184 is: 25 × 37.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1184: (1, 1184), (2, 592), (4, 296), (8, 148), (16, 74), and (32, 37).
Negative factor pairs of 1184: (-1, -1184), (-2, -592), (-4, -296), (-8, -148), (-16, -74), and (-32, -37).
Common Mistakes and How to Avoid Them in Factors of 1184
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1184, 1 and 1184 are also factors.
Factors of 1184 Examples
Problem 1
There are 74 students and 1184 pencils. How will they divide them equally?
They will get 16 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
1184/74 = 16
Problem 2
A wall is 32 meters long, and the total area is 1184 square meters. Find the height.
37 meters.
Explanation
To find the height of the wall, we use the formula, Area = length × height
1184 = 32 × height
To find the value of height, we need to shift 32 to the left side.
1184/32 = height
Height = 37.
Problem 3
There are 296 books and 1184 pages. How many pages will be in each book?
Each book will have 4 pages.
Explanation
To find the pages in each book, divide the total pages by the books.
1184/296 = 4
Problem 4
In a tournament, there are 16 teams and 1184 points. How many points are there per team?
74 points per team.
Explanation
Dividing the points by the total teams, we will get the points per team.
1184/16 = 74
Problem 5
A publisher needs to arrange 1184 pages into 37 volumes. How many pages will go in each volume?
Each volume will have 32 pages.
Explanation
Divide total pages by volumes.
1184/37 = 32
FAQs on Factors of 1184
1.What are the factors of 1184?
2.Mention the prime factors of 1184.
3.Is 1184 a multiple of 8?
4.Mention the factor pairs of 1184?
5.What is the square of 1184?
6.How can children in United States use numbers in everyday life to understand Factors of 1184?
7.What are some fun ways kids in United States can practice Factors of 1184 with numbers?
8.What role do numbers and Factors of 1184 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1184 skills?
Important Glossaries for Factors of 1184
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, and 1184.
- Prime factors: The factors which are prime numbers. For example, 2 and 37 are prime factors of 1184.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1184 are (1, 1184), (2, 592), etc.
- Prime factorization: Breaking down a number into its prime factors. For instance, the prime factorization of 1184 is 25 × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication for finding factors of 1184.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
